Continuous wavelet-like filter for a spherical surface and its application to localized admittance function on Mars

Details Continuous wavelet-like filter for a spherical surface and its application to localized admittance function on Mars Continuous wavelet-like filter for a spherical surface and its application to localized admittance function on Mars

Jan 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003pepi..135....1k&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 135, Issue 1, p. 1-16.

Physics

4

Scientific paper

We have developed a 2D isotropic continuous wavelet-like transform for a spherical surface. The transform is simply defined as the surface convolution between the original field and a kernel, based on the zeroth-order Bessel function with a spherical correction. This spherical correction violates the geometric similarity for the various scales of the kernels, which becomes more apparent at longer wavelengths. We found numerically that this transform is practically equivalent to a Gaussian bandpass filter in the spherical harmonic domain. We have applied this wavelet-like transform on the recently acquired Martian gravity and topography fields. Using a ratio constructed locally from these two fields, we have constructed a map describing the lateral variations of the localized admittance function on Mars.

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